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The $k$-orbit theory and polycirculant conjecture | | Aleksandr Golubchik
; | | Date: |
16 Mar 2005 | | Subject: | General Mathematics; Combinatorics MSC-class: 20C99, 20B05 | math.GM math.CO | | Abstract: | The paper contains a proof of the conjecture of M. Klin and D. Maru$reve{
m s}$i$reve{
m c}$ that an automorphism group of a transitive graph contains a permutation, decomposed in cycles of the same length. The proof is based on the $k$-orbit theory developed by author. Key words: $k$-orbits, partitions, permutations, symmetry, groups | | Source: | arXiv, math.GM/0503334 | | Services: | Forum | Review | PDF | Favorites | |
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